Distortion Error
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the original analog signal (green), the quantized signal (black dots), the signal reconstructed from the quantized signal (yellow) quantization error and the difference between the original signal and the reconstructed
Quantization Error Formula
signal (red). The difference between the original signal and the reconstructed signal is the quantization how to reduce quantization error error and, in this simple quantization scheme, is a deterministic function of the input signal. Quantization, in mathematics and digital signal processing, is the process of quantization error in pcm mapping a large set of input values to a (countable) smaller set. Rounding and truncation are typical examples of quantization processes. Quantization is involved to some degree in nearly all digital signal processing, as the process of representing a signal in digital form ordinarily involves rounding. Quantization also forms the core of
Quantization Error Definition
essentially all lossy compression algorithms. The difference between an input value and its quantized value (such as round-off error) is referred to as quantization error. A device or algorithmic function that performs quantization is called a quantizer. An analog-to-digital converter is an example of a quantizer. Contents 1 Basic properties of quantization 2 Basic types of quantization 2.1 Analog-to-digital converter (ADC) 2.2 Rate–distortion optimization 3 Rounding example 4 Mid-riser and mid-tread uniform quantizers 5 Dead-zone quantizers 6 Granular distortion and overload distortion 7 The additive noise model for quantization error 8 Quantization error models 9 Quantization noise model 10 Rate–distortion quantizer design 11 Neglecting the entropy constraint: Lloyd–Max quantization 12 Uniform quantization and the 6 dB/bit approximation 13 Other fields 14 See also 15 Notes 16 References 17 External links Basic properties of quantization[edit] Because quantization is a many-to-few mapping, it is an inherently non-linear and irreversible process (i.e., because the same outp
& Research UpdatesWorld of PsychologyResearch & ResourcesFind a Clinical TrialEncyclopedia of PsychologyResource DirectoryForums & Support GroupsFind HelpAsk the TherapistDrugs & MedicationsFind a TherapistPsychotherapy 101Forums & Support GroupsTake a QuizMood TrackerProMenuHomeConditionsQuizzesAsk the TherapistDrugsBlogsNewsResearchResourcesFind HelpPsychotherapy 101Forums & Support GroupsProHome » quantization error example Library » 15 Common Cognitive Distortions15 Common Cognitive Distortions By quantization error in analog to digital conversion John M. Grohol, Psy.D. ~ 5 min read What's a cognitive distortion and why do
Quantization Of Signals
so many people have them? Cognitive distortions are simply ways that our mind convinces us of something that isn't really true. These inaccurate thoughts are https://en.wikipedia.org/wiki/Quantization_(signal_processing) usually used to reinforce negative thinking or emotions -- telling ourselves things that sound rational and accurate, but really only serve to keep us feeling bad about ourselves.For instance, a person might tell themselves, "I always fail when I try to do something new; I therefore fail at everything http://psychcentral.com/lib/15-common-cognitive-distortions/ I try." This is an example of "black or white" (or polarized) thinking. The person is only seeing things in absolutes -- that if they fail at one thing, they must fail at all things. If they added, "I must be a complete loser and failure" to their thinking, that would also be an example of overgeneralization -- taking a failure at one specific task and generalizing it their very self and identity. Cognitive distortions are at the core of what many cognitive-behavioral and other kinds of therapists try and help a person learn to change in psychotherapy. By learning to correctly identify this kind of "stinkin' thinkin'," a person can then answer the negative thinking back, and refute it. By refuting the negative thinking over and over again, it will slowly diminish overtime and be automatically replaced by more rational, balanced thinking.Cognitive DistortionsAaron Beck first
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